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Q.

The equation of the parabola with the focus (3,0) and the directrix $x + 3 = 0$ is

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a

$y^{2} = 3 x$

b

$y^{2} = 6 x$

c

$y^{2} = 12 x$

d

$y^{2} = 2 x$

answer is C.

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Detailed Solution

$S = (3, 0)$ directrix is $x = - 3$

$\Rightarrow a = 3$

Equation of parabola is

$y^{2} = 4 ax y^{2} = 12 x$

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The equation of the parabola with the focus (3,0) and the directrix x+3=0 is